GCD of 249, 333, 696 Calculator

Given Input numbers are 249, 333, 696

In the factoring method, we have to find the divisors of all numbers

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (249, 333, 696) = 3.

Given numbers are 249, 333, 696

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

Prime factors of 333 are 3 x 3 x 37

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 249, 333, 696 is 3.

Given numbers are 249, 333, 696

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(249, 333) = 27639

GCD(249, 333) = ( 249 x 333 ) / 27639

= 249 / 333

= 249

Step2:

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

= 3 / 696

= 3

So, Greatest Common Divisor of 249, 333, 696 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 426, 410
• GCD of 965, 321, 839
• GCD of 892, 230, 666
• GCD of 987, 647, 459
• GCD of 913, 610, 908

Given numbers are 249, 333, 696
The greatest common divisor of numbers 249, 333, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 333, 696 is 3.

1. What is the GCD of 249, 333, 696?

GCD of given numbers 249, 333, 696 is 3

2. How to calculate the greatest common divisor of 249, 333, 696?

We can find the highest common divisor of 249, 333, 696 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 249, 333, 696 i.e 3.

3. How can I use the GCD of 249, 333, 696Calculator?

Out the numbers 249, 333, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.